Question

1. What is an inequality? Give one example of an inequality? How would you graph this? 2. What is a compound inequality? Give an example of "and" and an "or" inequality. 3. Identify the independent and dependent variables in the following situation: The more hours Beth studies, the higher the GPA she has.

Answer 1

Answer: see below

Explanation:

1) An inequality is an equation that uses >, ≥, <, or ≤ instead of an equal sign.

Example: 3x + 2 ≥ 10

2) A compound inequality is when 2 inequalities are combined using either "and" or "or".

• And → means it must satisfy both inequalities
• Or → means it must satisfy at least one of the inequalities

Example: x > -2 and x < 4 rewrite as: -2 < x < 4

Graph: -2 o-----------------o 4 one line segment between the #'s

Example: x < -2 or x > 4

Graph: ←-----------o -2 4 o----------→ two lines in opposite directions

3) The GPA is dependent on the number of hours she studies.

Independent: hours Beth studies

Dependent: GPA